11966411520 has 1296 divisors, whose sum is σ = 53980486560. Its totient is φ = 2427715584.

The previous prime is 11966411507. The next prime is 11966411521. The reversal of 11966411520 is 2511466911.

11966411520 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 641 + 1 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11966411521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 278288619 + ... + 278288661.

It is an arithmetic number, because the mean of its divisors is an integer number (41651610).

Almost surely, 2^11966411520 is an apocalyptic number.

11966411520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11966411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26990243280).

11966411520 is an abundant number, since it is smaller than the sum of its proper divisors (42014075040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11966411520 is a wasteful number, since it uses less digits than its factorization.

11966411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11966411520 in words is "eleven billion, nine hundred sixty-six million, four hundred eleven thousand, five hundred twenty".